Distance of Element from Center line given Shear Stress at any Cylindrical Element Calculator

✖The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Distance of Element from Center line given Shear Stress at any Cylindrical Element [d_radial]

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Formula

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Distance of Element from Center line given Shear Stress at any Cylindrical Element

Formula

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Example

10.95294 m = 2 \cdot \frac{93.1 Pa}{17 N/m³}

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Distance of Element from Center line given Shear Stress at any Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Distance = 2*Shear Stress/Pressure Gradient
d_radial = 2*𝜏/dp|dr
This formula uses 3 Variables

Variables Used

Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_radial = 2*𝜏/dp|dr --> 2*93.1/17

Evaluating ... ...

d_radial = 10.9529411764706

STEP 3: Convert Result to Output's Unit

10.9529411764706 Meter --> No Conversion Required

FINAL ANSWER

10.9529411764706 ≈ 10.95294 Meter <-- Radial Distance

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Steady Laminar Flow in Circular Pipes Calculators

Shear Stress at any Cylindrical Element given Head Loss

Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

Distance of Element from Center Line given Head Loss

Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)

Distance of Element from Center line given Shear Stress at any Cylindrical Element

Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

Go Shear Stress = Pressure Gradient*Radial Distance/2

Distance of Element from Center line given Shear Stress at any Cylindrical Element Formula

Radial Distance = 2*Shear Stress/Pressure Gradient
d_radial = 2*𝜏/dp|dr

What is Pressure Gradient ?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element?

Distance of Element from Center line given Shear Stress at any Cylindrical Element calculator uses Radial Distance = 2*Shear Stress/Pressure Gradient to calculate the Radial Distance, The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section. Radial Distance is denoted by d_radial symbol.

How to calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element using this online calculator? To use this online calculator for Distance of Element from Center line given Shear Stress at any Cylindrical Element, enter Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance of Element from Center line given Shear Stress at any Cylindrical Element calculation can be explained with given input values -> 10.95294 = 2*93.1/17.

FAQ

What is Distance of Element from Center line given Shear Stress at any Cylindrical Element?

The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section and is represented as d_radial = 2*𝜏/dp|dr or Radial Distance = 2*Shear Stress/Pressure Gradient. The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

How to calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element?

The Distance of Element from Center line given Shear Stress at any Cylindrical Element is defined as radius of elemental section is calculated using Radial Distance = 2*Shear Stress/Pressure Gradient. To calculate Distance of Element from Center line given Shear Stress at any Cylindrical Element, you need Shear Stress (𝜏) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Shear Stress & Pressure Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radial Distance?

In this formula, Radial Distance uses Shear Stress & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
Radial Distance = sqrt((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient))

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